Consider the Problem a Finite Difference Approximation of the Solution Is Desired

question 14

Multiple Choice

Consider the problem $\frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial y ^ { 2 } } = 0 , u ( 0 , y ) = 0 , u ( x , 0 ) = 0 , u ( 1 , y ) = \sin ( \pi y ) , u ( x , 1 ) = \sin ( \pi x )$ . A finite difference approximation of the solution is desired, using the approximation of the previous problem. Use a mesh size of $h = 1 / 3$ The conditions satisfied by the mesh points on the boundary are Select all that apply.

• A) \(u = 1 / 2 \text { at } ( 1,2 / 3 ) \text { and } ( 2 / 3,1 )\)
• B) \(u = \sqrt { 3 } / 2 \text { at } ( 1,1 / 3 ) \text { and } ( 1 / 3,1 )\)
• C) \(u = 0 \text { at } ( 0,1 / 3 ) \text { and } ( 1 / 3,0 )\)
• D) \(u = 0 \text { at } ( 0,2 / 3 ) \text { and } ( 2 / 3,0 )\)
• E) \(u = 0 \text { at } ( 1 / 3,1 / 3 ) \text { and } ( 2 / 3,2 / 3 )\)

---

Definitions:

Accrued Salaries Expense

Refers to the salaries that have been incurred by the business but have not yet been paid or recorded in the financial statements.

Completed-Contract Method

An accounting method used where revenue and profit are deferred until a contract is completed, particularly useful in long-term projects.

Percentage-Of-Completion Method

An accounting method used to recognize revenue and expenses of long-term contracts proportionally to the amount of work completed.

Extractive Industry

Industries involved in the extraction of natural resources from the earth, such as mining, drilling for oil, or logging.